Two men can do a piece of work in x days. But y women can do that in 3 days. Then the ratio of the work done by 1 man and 1 woman is ?

2 men can do a work in x days
1 men can do a work in (2 × x) days
y women can do a work in 3 days
1 women can do a work in 3y days

	1 man	:	1 woman
Days	2x	:	3y
Efficiency	3y	:	2x

$$\eqalign{ & {\bf{Alternate:}} \cr & {\text{2M}} \times x = y{\text{W}} \times {\text{3}} \cr & \frac{{\text{M}}}{{\text{W}}} = \frac{{3y}}{{2x}} \cr & {\text{M}}:{\text{W}} = 3y:2x \cr} $$